LINEAR EQUATIONS

Content

Key Points

An Equation is a mathematical sentence (e.g., 2x = 10) that equates one expression (2x) to another expression (10).
A Linear equation only uses expressions involving first power algebraic terms
Forming and Solving equations restricted to 1 unknown with multiple occurrences

Detail

Forming & Solving Equations

KS3 Objectives : construct and solve linear equations with integer coefficients (unknown on either or both sides, without and with brackets) using appropriate methods (e.g. inverse operations, transforming both sides in same way)

Steps to achievement
    1. Simplified example as starter.
    2. What is an equation? Balancing, Equals, Equivalence. ICT / Prop Scales.
    3. Forming an equation from a word problem. Identifying unknown. Developing equivalent expressions. Examples
    4. Solving. Collecting like terms. Rearrange equation. Order of transformation. Maintain balance by performing same operations to both sides (Common misconception - not applying operation to all terms)Solving using Flow Diagram
    5. Solving using Trial and Error
    6. Substituting values for unknowns. +ve and -ve
    7. Checking using Substitution
    8. ICT - Checking using spreadsheets

ICT
Use of spreadsheets to solve/check equations

Delivery

Outcomes